Microscopic Study of 16O-16O Interaction by the Resonating Group Method

Abstract

A new method for constructing the kernels of the resonating group formulation in analytic way is presented in the 16O+16O system, where the harmonic oscillator (0s)4 (0p)12 configuration is assumed for the 16O ground state. The real phase shifts calculated from a simple effective two-nucleon potential are compared with those given by the phenomenological potential. The predicted resonance energies as well as the energy eigenvalues obtained in the bound-state approximation show the rotational feature similar to the energy surfaces given by the generator coordinate method. The behavior of the relative wave functions shows that the 16O-16O interaction is characterized by the following three regions: In the innermost region (relative distance r ≲3.8 fm) the inner oscillation is completely demped due to the dominance of the Pauli principle, in the outermost region (r ≳5 fm) related to a few important surface partial waves the potential picture is valid and in the intermediate region (3.8 ≲r ≲5 fm) the effects of nuclear forces and the Pauli principle equally play important roles.